According to Wikipedia...
Baker also worked with the NAACP.[4] In 1963, she spoke at the March on Washington at the side of Martin Luther King, Jr.[16] Wearing her Free French uniform emblazoned with her medal of the Légion d'honneur, she was the only woman to speak at the rally.[17] After King's assassination, his widow Coretta Scott King approached Baker in Holland to ask if she would take her husband's place as leader of the American Civil Rights Movement. After many days of thinking it over, Baker declined, saying her children were "… too young to lose their mother."[3]
My mind reels from the idea of the woman who did the "Banana Danse" as head of the NAACP, but what if?